The computation of the radical of a zero-dimensional ideal plays an important role in various areas of computer algebra. A bunch of different methods have been published to meet this task (see e.g. [4,8,11,13–17]). The method presented in this paper is strongly connected to a recent approach...

We show that each stationary flow of the KdV and Harry Dym hierarchies of soliton equations, which are (2m+1)-st order ODEs (m=0,1…), has two parametrisations as a set of Newton equations with velocity-independent forces. Forces are potential and these Newton equations follow from a Lagrangian...

We review, compare and experiment with two methods for solving systems of polynomial equations. One of the methods is developed by Wu based on Ritt's concept of characteristic sets, and the other is proposed by the author in extending the idea of Seidenberg's elimination theory. We present the...

This paper develops a Bayesian vector autoregressive model(BVAR) for the leader of the Portuguese car market to forecast the market share. The model includes five marketing decision variables.The Bayesian prior is selected on the basis of the accuracy of the out-of-sample forecasts. We find that...

We study the evolution of sectoral employment and labour cost in 11 European countries over the last two decades. Our statistical approach consists of decompositions for country, industry and temporal effects. Virtual economies are constructed by filtering country effects. We find that sectoral...